Evaluate 18×2-4^2 ÷8
Answer:
34
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
18 × 2 - 4² ÷ 8
Step 2: Exponents
18 × 2 - 16 ÷ 8
Step 3: Multiply
36 - 16 ÷ 8
Step 4: Divide
36 - 2
Step 5: Subtract
34
The quadratic function g(x) has a vertex at (-5, 0) and y-intercept of (0, -5). What is g(1)?
Answer:
g(1)=7 1/5
Step-by-step explanation:
vertex (-5,0) , y intercept(0,5)
the quadratic equation is in the form of a parabola: y=ax²+bx+c
y=a(x-h)²+k find a and b and c
5=a(0-(-5))²+0
5=a(5)²+0
5=25a ⇒ a=5/25 ⇒ a=1/5
-b/2a=h
-b=2ah ⇒=-b=2(1/5)(-5) ⇒ -b=-2⇒ b=2
y=c=5 ( when x=0, y intercept)
y=1/5x² + 2x + 5
g(1)=1/5(1)²+2(1)+5
g(1)=1/5+2+5
g(1)=7 1/5
A quadratic function has a degree of 2, and it is represented as: [tex]y = ax^2 + bx + c[/tex]. The value of g(1) is -7.2
Given that:
[tex](h,k) = (-5,0)[/tex] --- the vertex
[tex](x,y) = (0,-5)[/tex] --- the y-intercept
The quadratic function in vertex form is:
[tex]y = a(x - h)^2 + k[/tex]
Where:
[tex](h,k) = (-5,0)[/tex] --- the vertex
So, we have:
[tex]y = a(x - -5)^2 + 0[/tex]
[tex]y = a(x +5)^2[/tex]
Substitute [tex](x,y) = (0,-5)[/tex] to calculate the value of a
[tex]-5 = a(0 +5)^2[/tex]
[tex]-5 = a(5)^2[/tex]
[tex]-5 = a \times 25[/tex]
Divide both sides by 25
[tex]a = -\frac 15[/tex]
So, the quadratic equation is:
[tex]y = a(x +5)^2[/tex]
[tex]y = -\frac 15(x +5)^2[/tex]
Rewrite as a function
[tex]g(x) = -\frac 15(x +5)^2\\[/tex]
To calculate g(1), we simply substitute 1 for x
[tex]g(1) = -\frac 15(1 +5)^2[/tex]
[tex]g(1) = -\frac 15(6)^2[/tex]
[tex]g(1) = -\frac 15 \times 36[/tex]
[tex]g(1) = -7.2[/tex]
Hence:
The value of g(1) is -7.2
Read more about quadratic functions at:
https://brainly.com/question/4119784
Suzi can type around 50 words per minute she has less than a week to taper final research paper is the paper has to at least be 20 pages long and each Page has about 380 words how many hours should Susie Santa side to taper assignment show your work to receive full credit round your answer to the nearest tenths place
Answer:
2.5 hours
Step-by-step explanation:
(380/50) x 20
7.6 x 20
152
The final answer wold be 152 minutes or 2.5 hours
(NEED ANSWER ASAP PLZ HURRY)Complete the division problem by determining the number that should be placed in the box. 346 13) 4498 - 3900 598 78 -78 0 Numerical Answers Expected!
Answer:
520
Step-by-step explanation:
To know what value should be placed in the box, let us calculate the carry out the operation.
Please see attached photo for explanation.
From the calculations made as shown in the attached photo, the value that should be placed in the box is 520
write each expression using exponents 4 x p x 4 x p
Answer:
[tex]4 * p * 4 * p = 4^2p^2[/tex]
Step-by-step explanation:
Given
[tex]4 * p * 4 * p[/tex]
Required
Write as exponents
[tex]4 * p * 4 * p[/tex]
Rearrange to collect Like Terms
[tex]4 * 4 *p * p[/tex]
Group both items
[tex](4 * 4) *(p * p)[/tex]
Apply law of indices
[tex](4^{1+1})(p^{1+1})[/tex]
[tex](4^2)(p^2)[/tex]
Remove bracket
[tex]4^2p^2[/tex]
Hence:
[tex]4 * p * 4 * p = 4^2p^2[/tex]
Is 9/3 a repeating decimal? Please answer!!
Step-by-step explanation:
A repeating decimal is a recurring decimal. It has no end when divided.
9/3 is 3 so it is a terminating decimal.
it does not repeatAnswer:
The single repeating digit is 3.
Step-by-step explanation:
PLEASE HELP AND EXPLAIN Use the cosine ratio to find the value of x, to the nearest tenth. The video literally NEVER explained how to do this. Please do step by step.
Answer:
[tex]\boxed{\bold{\huge{\boxed{x = 4.0}}}}[/tex]
Step-by-step explanation:
[tex]\sf Cos\ \theta = \frac{Adjacent}{Hypotenuse}[/tex]
Where [tex]\theta[/tex] = 34° , Adjacent = x and Hypotenuse = 4.8
[tex]\sf Cos \ 34 = \frac{x}{4.8} \\0.829 = \frac{x}{4.8} \\x = 0.829*4.8\\x = 4.0[/tex]
Answer:
[tex]\Huge \boxed{x \approx 4}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trig functions to solve for the problem.
[tex]\sf \displaystyle cos (\theta) = \frac{adjacent}{hypotenuse }[/tex]
[tex]\sf \displaystyle cos (34) = \frac{x}{4.8 }[/tex]
Multiplying both sides by 4.8.
[tex]\sf \displaystyle 4.8 \cdot cos (34) = \frac{x}{4.8 } \cdot 4.8[/tex]
[tex]\sf x = 3.97938034[/tex]
The value of x is approximately 4.
[tex]\rule[225]{225}{2}[/tex]
Does anybody know the answer???
Answer:
Rectangle
Step-by-step explanation:
According to this grapher that I am using it shows a rectangle using your coordinates
Please give brainliest
Answer:
Rectangle
Step-by-step explanation:
Opposite sides (1, 1), (4,1) and (1, 3), (4,3) are horizontal and have length 3.
Opposite sides (1, 1), (1, 3) and (4, 1), (4,3) are vertical and have length 2.
There two pairs of opposite sides that are congruent, so this is a parallelogram. Since not all sides are congruent, this is not a square or a rhombus.
In addition, vertical sides and horizontal sides form right angles, so this is a parallelogram with right angles. It is a rectangle.
There will be 3 groups with 3 cards, 1 group with 2 cards and 1 card left over. PLEASE HELP ME PUT THEM IN GROUPS
Answer:
Step-by-step explanation:
[tex](5x)^4=5x*5x*5x*5x=625x^4\\(-4xy)^2=-4xy*-4xy=16x^2y^2\\-4(xy)^2=-4*xy*xy=-4x^2y^2\\5x^4=5*x*x*x*x\\left~over -16x^2y^2[/tex]
PLSSSS HELLLPPP WILL GIVE BRAINLIESTTT!!!!!!!!!
Answer: -3/2
Step-by-step explanation:
There are two methods to find the slope
METHOD 1. Rise/Run
Rise: the y-axis value
Run: the x-axis value
In the graph, rise/run=3/2
The line is going down, so it should be negative
-3/2
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Solve 4(2x − 1) − 3 = 9(x − 4)
Answer:
x = 29
Step by step explantion:
Answer:
x = 29
Step-by-step explanation:
Distribute/ Multiply:
8x - 4 - 3 = 9x - 36
Rearrange the equation:
8x - 9x = -36 + 4 + 3
Combine like terms:
-1x = -29
Divide:
x = 29
What type of data is the following: “There were four dogs in the group."
A.) none of the other answers are correct
B.) Quantitative data
C.) Catgorical data
Answer: B.) Quantitative data
Step-by-step explanation:
Quantitative data is basically defined as a data with numbers that measure quantities.Category data have different categories or groups in it.In the given statement, we do not have categories but the count of dogs as "four" in a group.
Hence, the given statement represents "Quantitative data" .
So, the correct option is B) .
If a line with slope = 2 passes through the points (4,-8) and (x,2), find x
Answer:
x = 9
Step-by-step explanation:
Calculate the slope m using the slope formula then equate to 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 8) and (x₂, y₂ ) = (x, 2 )
m = [tex]\frac{2+8}{x-4}[/tex] = [tex]\frac{10}{x-4}[/tex] = 2 ( multiply both sides by x - 4 )
2(x - 4) = 10 ( divide both sides by 2 )
x - 4 = 5 ( add 4 to both sides )
x = 9
In 2003, a remote controlled model airplane became the first ever to fly nonstop across the Atlantic Ocean. The map shows the airplane's position at three different points during its flight. Point A represents Cape Spear, Newfoundland, point B represents the approximate position after 1 day, and point C represents Mannin Bay, Ireland. The airplane left from Cape Spear and landed in Mannin Bay. Find the total distance the model airplane flew. It flew miles. The model airplane's flight lasted nearly 38 hours. Estimate the airplane's average speed to the nearest mile per hour. The average speed was about miles per hour.
Answer: it flew 1883 miles and average speed was about 50 miles per hour
Step-by-step explanation: to get 1883 you just add up 1282+601
Last year Kerry's take home pay was $15 000. She spent of her take
home pay on rent. She used the rest of her take home pay for living
expenses, clothes and entertainment in the ratio 3:1:2 How much did
Kerry spend on entertainment last year?
Answer:
3,000. You take 15,000 and multiply by .4 to get how much she spent on rent (6,000). They you subtract the rent money from her total pay to get her money that she spent on living expenses, clothes and entertainment in total (9,000). Since she spent her money in six parts (3+2+1), you divide 9,000 by 6 to get 1,500 to get each part. Since for entertainment she has two parts you multiply 1,500 by 2 to get 3,000.
It costs $10 to initially get in to a county fair, then $2 for every ride that somebody wants to go on. What would be the slope and the y-intercept
in this situation?
Select 2 that apply
Da
Lь
d
Y-Intercept = 10
Y-Intercept = 5
Y-Intercept = 2
Y-Intercept = 20
Slope = 5
Slope = 20
Slope = 2
Slope = 10
Le
h
Answer:
y intercept is 10 and slope is 2
Step-by-step explanation:
Solve this equation: 6 - x = 14
Answer:
-8
Step-by-step explanation:
6-(-8)= 14
Answer:
x = -8
Step-by-step explanation:
Rearrange: 14 = 6 - xAdd x to each side, so it now looks like this: 14 + x = 6Subtract 14 from each side, so it now looks like this: x = -18I hope this helps!
A resting heart rate for men on a chart say 62-65 beats per minute puts men in the good category of scott counted 238 heart beats in 3 1/2 minutes does his heart rate fall into the good category
the surface area of a cube-shaped gift box can be represented by the function A(s) = 6s2, where s is the side length of the box in inches. What does the constant in the function A(s) represent?
Answer:
the number of faces of a cube
Step-by-step explanation:
For an edge length of s, the area of one face of a cube is s^2. The area of all six faces of the cube, the total surface area, is 6s^2. The number 6 represents the number of congruent faces of a cube.
Answer: the number of faces on the box
Step-by-step explanation:
Write an integer to represent the following: |-34|
Answer:
34
Step-by-step explanation:
The absolute value function always gives a positive value, that is
| a | = | - a | = a , thus
| - 34 | = 34
12. The sum of four consecutive numbers in A.P. is 32 and the ratio of the product of the first and last terms to the product of two middle terms is 7:15. Find the number.
Answer:
2, 6, 10, 14
or
14, 10, 6, 2.
Step-by-step explanation:
Let the four consecutive numbers in A.P. be a - 3d, a - d, a + d, a + 3d
According to the first condition:
a - 3d + a - d + a + d + a + 3d =32
4a = 32
a = 32/4
a = 8
According to the second condition:
[tex] \frac{(a - 3d)(a + 3d)}{(a - d)(a + d)} = \frac{7}{15} \\ \\ \frac{ {a}^{2} - (3d)^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {a}^{2} - 9d^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {8}^{2} - 9d^{2} }{ {8}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ 64 - 9d^{2} }{ 64 - {d}^{2} } = \frac{7}{15} \\ \\ 15(64 - 9 {d}^{2} ) = 7(64 - {d}^{2} ) \\ \\ 960 - 135 {d}^{2} = 448 - 7 {d}^{2} \\ \\ 960 - 448 = 135 {d}^{2} - 7 {d}^{2} \\ \\ 512 = 128 {d}^{2} \\ \\ {d}^{2} = \frac{512}{128} \\ \\ {d}^{2} = 4 \\ \\ d = \pm 2 \\ \\ when \: d = 2 \\ a - 3d = 8 - 3 \times 2 = 8 - 6 = 2 \\ a - d = 8 - 2 = 6 \\ a + d = 8 + 2 = 10 \\ a + 3d = 8 + 3 \times 2 = 8 + 6 = 14 \\\\ when \: d = - 2 \\ a - 3d = 8 - 3 \times ( -2 ) = 8 + 6 = 14 \\ a - d = 8 -( - 2 )= 8 + 2 = 10 \\ a + d = 8 + ( - 2 )= 8 - 2 = 6\\ a + 3d = 8 + 3 \times ( - 2 )= 8 - 6 = 2 \\[/tex]
Thus the four consecutive numbers of the A. P. are 2, 6, 10, 14 or 14, 10, 6, 2.
if there are 26 students in each third grade class and 3 third grade classes in the school , how many students will attend an assembly for third grafers if a total of 4 students absent.
Answer:
74 students would attend the assembly for third graders
Step-by-step explanation:
26 × 3 = 78
78 - 4 = 74
Find the vertex of the parabola y = 2x2 + 10x + 8
Step-by-step explanation:
2x*2+10x + 8
=4x+10x+8
=14x+8
inverse of 14x+8
x-8/14
=14
Answer:
y vertex=2(-5/2)^2+10(-5/2)+8=-9/2
vertex=(-5/2, -9/2)
helppppp pls simple algebra hella points show your work
Answer:
y = -7, y = -3
Step-by-step explanation:
(y - 3)² = 2y² + 4y + 30
expand:
y² - 6y + 9 = 2y² + 4y + 30
subtract 30 from both sides
y² - 6y + 9 - 30= 2y² + 4y + 30 - 30
simplify:
y² - 6y - 21 = 2y² + 4y
subtract 4y from both sides
y² - 6y - 21 -4y = 2y² + 4y - 4y
simplify:
y² - 10y - 21 = 2y²
subtract 2y² from both sides
y² - 10y - 21 - 2y² = 2y² - 2y²
simplify:
-y² - 10y - 21 = 0
solve y by quadratic equation
- (-10) ± √ (-10² - 4(-1)(21)
y = --------------------------------------
2(-1)
y = -7, y = -3
Answer:
[tex]\Huge \boxed{y=-7 \ \ \mathrm{or} \ \ y=-3}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex](y-3)^2 =2y^2 +4y+30[/tex]
Expanding brackets.
[tex]y^2-6y+9=2y^2 +4y+30[/tex]
Subtracting (y² - 6y + 9) from both sides, then switching sides.
[tex]y^2 +10y+21=0[/tex]
Factoring left side.
[tex](y+3)(y+7)=0[/tex]
Setting factors equal to 0.
[tex]\Longrightarrow y+3= 0 \\\\\\ \Longrightarrow y=-3[/tex]
[tex]\Longrightarrow y+7=0 \\\\\\ \Longrightarrow y=-7[/tex]
[tex]\rule[225]{225}{2}[/tex]
3xy + 5x + 2 + 3y +x + 4
Answer:
= 3xy + ( 5x + x) + 3y + ( 4 +2 )
= 3xy + 6x + 3y + 6
The vet told Jake that his dog, Kevin, who weighed 78 pounds, needed to lose 14 pounds. Jake started walking Kevin every day and changed the amount of food he was feeding him. Kevin lost 1.5 pounds in the first week. Jake wants to follow the vet's advice. So, how many weeks, w, will it take Kevin to lose the weight in pounds, p.
Answer:
It will take approximately 9.3 weeks for Kevin to lose the
Step-by-step explanation:
current weight of Dog = 78 pounds
Required weight to be shed off = 14 pounds
weight lost in 1 week = 1.5 pounds
Let the number of weeks required to lose 14 pounds be w.
Assuming that the rate of weight loss per week is constant
(weight lost in 1 week) × (number of weeks) = 14 pounds
1.5 × w = 14
w = 14 ÷ 1.5 = 9.3 weeks
Therefore it will take approximately 9.3 weeks for Kevin to lose the weight
convert 372 in Quinary number
372₁₀ = 2442₅
Step-by-step explanation:372 : 5 = 74 r 2
74 : 5 = 14 r 4
14 : 5 = 2 r 4
2 : 5 = 0 r 2 ↑
write down the remainders in the reverse order
372₁₀ = 2442₅
The total combined volume of a glass, a jar, and a pitcher is 54 liters. If the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses, what is the volume of the glass?
Answer:
6 liters.
Step-by-step explanation:
So we have a glass, a jar, and a pitcher and together, they hold 54 liters.
We are told that the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses. In other words, let g denote glasses, j denote jars, and p denote pitchers:
[tex]g+j+p=54[/tex]
Since jar is the same as 3 glasses, this means that j=3g. And since the pitcher is the same as 5 glasses, this means that p=5g. Substitute:
[tex]g+(3g)+(5g)=54[/tex]
Combine like terms:
[tex]9g=54[/tex]
Divide both sides by 9. The left cancels:
[tex](9g)/9=54/9\\g=6[/tex]
Therefore, the volume of the glass is 6 liters.
Answer:
[tex]\Large \boxed{\sf 6 \ liters}[/tex]
Step-by-step explanation:
Let the volume of the glass be x.
Let the volume of the jar be y.
Let the volume of the pitcher be z.
[tex]\sf y = 3x \\\\z = 5x[/tex]
[tex]\sf x + y + z = 54[/tex]
Substitution method.
[tex]\sf x+3x+5x=54[/tex]
Combining like terms.
[tex]\sf 9x = 54[/tex]
Dividing both sides by 9.
[tex]\sf x = 6[/tex]
The volume of the glass is 6 liters.
Need help please‼️ I appreciate it
Answer:
the answer is the last choice
Step-by-step explanation:
What is 196 classified as
Answer:
it is so unclear to say . If any more information is given, then only it can be answered. I don't think 196 is so special to be classified.